Algebraic Curve/Examples/Circle

Example of Algebraic Curve

The circle is an example of an algebraic curve.

From Cartesian Equation of Circle, a circle can be expressed by an equation in the form:

$\paren {x - a}^2 + \paren {y - b}^2 = R^2$

For example:

$x^2 + y^2 = 4$

is the equation defining a circle whose center is at $\tuple {0, 0}$ and whose radius is $2$.

Sources

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): algebraic curve